1996/02/29 by A.A. Tseytlin, A. A. Tseytlin · 351 citations
Mathematics · Physics and Astronomy · #Abelian group #Action (physics) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Duality (order theory) #Homotopy and Cohomology in Algebraic Topology #S-duality #Scalar (mathematics) #String duality #Superstring theory #T-duality #Type (biology) #hep-th
paper · pdf · doi:10.1016/0550-3213(96)00173-3
published in Nuclear Physics B 469(1-2), 51-67 (Elsevier BV) · 22 pages, harvmac (minor changes)
arxiv created 1996/03/28 · openalex publication_date 1996/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
D-brane actions depend on a world-volume abelian vector field and are described by Born-Infeld-type actions. We consider the vector field duality transformations of these actions. Like the usual 2d scalar duality rotations of isometric string coordinates imply target space T-duality, this vector duality is intimately connected with SL(2,Z)-symmetry of type IIB superstring theory. We find that in parallel with generalised 4-dimensional Born-Infeld action, the action of 3-brane of type IIB theory is SL(2,Z) self-dual. This indicates that 3-brane should play a special role in type IIB theory and also suggests a possibility of its 12-dimensional reformulation.